Simplicial Topological Coding and Homology of Spin Networks

被引：0
|
作者：
Berec, Vesna [1 ,2 ]
机构：
[1] Univ Belgrade, Studentski Trg 1, Belgrade, Serbia
[2] Inst Nucl Sci Vinca, POB 522, Belgrade, Serbia
来源：
APPLICATIONS OF COMPUTER ALGEBRA | 2017年 / 198卷
关键词：
Spin network; Simplicial complex; Graph state; Combinatorial optimization; Quantum code; QUANTUM; STATES;
D O I：
10.1007/978-3-319-56932-1_2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the commutation of the stabilizer generators embedded in the q-representation of higher dimensional simplicial complex. The specific geometric structure and topological characteristics of 1-simplex connectivity are generalized to higher dimensional structure of spin networks encoded in ordered complex via combinatorial optimization of a closed compact space. Obtained results of a consistent homology-chain basis are used to define connectivity and dynamical self organization of spin network system via continuous sequences of simplicial maps.
引用
收藏
页码：11 / 20
页数：10
相关论文
共 50 条
  • [1] Homotopy simplicial faces and the homology of realizations of simplicial topological spaces
    S. V. Lapin
    Mathematical Notes, 2013, 94 : 619 - 635
  • [2] Homotopy simplicial faces and the homology of realizations of simplicial topological spaces
    Lapin, S. V.
    MATHEMATICAL NOTES, 2013, 94 (5-6) : 619 - 635
  • [3] Simplicial Homology for Future Cellular Networks
    Vergne, Anais
    Decreusefond, Laurent
    Martins, Philippe
    IEEE TRANSACTIONS ON MOBILE COMPUTING, 2015, 14 (08) : 1712 - 1725
  • [4] Topological trajectory classification with filtrations of simplicial complexes and persistent homology
    Pokorny, Florian T.
    Hawasly, Majd
    Ramamoorthy, Subramanian
    INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH, 2016, 35 (1-3): : 204 - 223
  • [5] Quantum tetrahedra and simplicial spin networks
    Barbieri, A
    NUCLEAR PHYSICS B, 1998, 518 (03) : 714 - 728
  • [6] The topological Dirac equation of networks and simplicial complexes
    Bianconi, Ginestra
    JOURNAL OF PHYSICS-COMPLEXITY, 2021, 2 (03):
  • [7] Simplicial homology based energy saving algorithms for wireless networks
    Ngoc-Khuyen Le
    Martins, Philippe
    Decreusefond, Laurent
    Vergne, Anais
    2015 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATION WORKSHOP (ICCW), 2015, : 166 - 172
  • [8] SPIN NETWORKS ARE SIMPLICIAL QUANTUM-GRAVITY
    HASSLACHER, B
    PERRY, MJ
    PHYSICS LETTERS B, 1981, 103 (01) : 21 - 24
  • [9] HOMOLOGY WITH SIMPLICIAL COEFFICIENTS
    DWYER, WG
    KAN, DM
    LECTURE NOTES IN MATHEMATICS, 1989, 1370 : 143 - 149
  • [10] AN APPLICATION IN SIMPLICIAL HOMOLOGY
    ANDRE, M
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (25): : 1527 - &
12345